Question

A bus is moving at $10m/s$ in a straight line. A scooterist is $80m$ behind moving at $5m/s$ wishes to overtake the bus in $100s$. Find the acceleration required for scooterist to do this.

Answer 1

Given time$=100s$

Distance covered by the bus in $100s=10\times 100=1000m$

Total distance needed to cover $=1000+80=1080m$

Using equation,$s=ut+\frac{1}{2}a{t}^2$ where, $u=5m/s,t=100,s=1080$

$1080=500+5000a$

$1080-500=5000a$

$a=0.0116m/s^2$